Question

Trash-A-Way charges $25 per month with an additional $0.25 per pound of trash that they pick up from your house. Garbage-No-More charges a flat fee of $45 per month. Write a system of equations to represent each plan. How many pounds of trash would make the two plans equal?Separate your equations and final number of visits by comas.

Answer 1

In Trash-A- Way

The equation represents it is

The cost = 25 + 0.25p, where p is the number of pounds

In No-More Charges

The equation is

The cost = 45

Let the cost = y, then

$\begin{gathered} y=25+0.25p \\ y=45 \end{gathered}$

Now, we will equate the 2 equations to find p

$25+0.25p=45$

Subtract 25 from both sides

$\begin{gathered} 25-25+0.25p=45-25 \\ 0.25p=20 \end{gathered}$

Divide both sides by 0.25 to find p

$\begin{gathered} \frac{0.25p}{0.25}=\frac{20}{0.25} \\ p=80 \end{gathered}$

Write the answer like that

y=25+0.25p,y=45,80